What are the solutions to the equation (x - 6)(x + 8) = 0?

Solution:

Given, (x - 6)(x + 8) = 0 it is a product of two terms.

We know if the product of two terms is zero then at least one of the terms must be zero.

This is called the zero product property of the multiplication property of zeroes .

Thus, we get (x - 6) = 0

⇒ x = 6 or (x + 8) = 0

⇒x = - 8

Example:

What are the solutions to the equation x³ - 9x ?

Solution:

Given, equation is x³ - 9x

⇒ x³ - 9x = 0

x(x² - 9) = 0

Here, (x² - 9) is difference of square, which is equal to (x - 3)(x + 3)

Therefore, x(x - 3)(x + 3) = 0

⇒ x = 0, x = 3 and x = -3

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What are the solutions to the equation (x - 6)(x + 8) = 0?

Summary:

The solutions to the equation (x - 6)(x + 8) = 0 are x = 6 or -8